Least Common Multiple (LCM) of 162 and 88
The least common multiple (LCM) of 162 and 88 is 7128.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 162 and 88?
First, calculate the GCD of 162 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 88 = 1 remainder 74 |
| 2 | 88 ÷ 74 = 1 remainder 14 |
| 3 | 74 ÷ 14 = 5 remainder 4 |
| 4 | 14 ÷ 4 = 3 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 107 | 20223 |
| 84 and 142 | 5964 |
| 38 and 60 | 1140 |
| 50 and 45 | 450 |
| 76 and 102 | 3876 |